Solve the Problem $\text { Maximize } f ( x , y , z ) = e ^ { 4 x + 9 y + 2 z } \text { subject to } x + y + z = 0 , x + 2 y + 3 z = 0 \text {, and } x + 4 y + 9 z = 0$

Multiple Choice

Solve the problem.
- $\text { Maximize } f ( x , y , z ) = e ^ { 4 x + 9 y + 2 z } \text { subject to } x + y + z = 0 , x + 2 y + 3 z = 0 \text {, and } x + 4 y + 9 z = 0$

A) 0
B) e
C) 1
D) 15